Right Triangle Trigonometry Part 3
Solving The Right Triangle
Up to this point, angles 1 and 2 have not been assigned an angular value. All that is known about the size of the angles is that they must have a sum of 90°. Remember, that the sum of all the angles must be 180°. Since one of the angles remains 90°, angles 1 and 2 comprise the difference (90°).
In Right Traingle Trigonometry - Part 2, the sine of angle 1, abbreviated sin1, was found to be 0.60. The 0.60 value correlates to an angular value of 36.87° (or 37°, rounded to the whole degree). This means that no matter the size of the triangle, angle 1 will remain a constant size provided sin1=0.60. In other words, if the ratio between the opposite side (of angle 1) and the hypotenuse remains 0.60 (6:10), the angle will remain 37°. The same value for angle 1 (37°) will be found using any of the three ratios, with respect to their individual trig function. By the way, the value of angle 1 is found by using the inverse trig functions on a calculator (be sure to review and understand the use of the calculator functions), or trig tables listing sine, cosine and tangent values. A trig table of whole degrees from 1 to 89 is located in Fig.2.
Now that angle 1 has been found, the solution for angle 2 can be found using the trig functions, or by simply subtracting the value of angle 1 from 90°. Angle 2 has a value of 53° (90°-37°).
Click Fig. 2 To Enlarge It
More by this Author
What makes a woman's voice sexy? To me, it's a scratchy, kind of dirty voice. But what I am listening for in a woman's voice transcends her looks, style of music and in some cases even her vocal talent. Most of the...
When it comes to custom chopper styles there are four basic classes. Each chopper style has its own beauty and appeal. The trouble comes when deciding which style to build! It is important to be honest about the style...
I am often asked about the differences between hard-tail and soft-tail frames. So here is a quick comparison between the two explaining their primary differences, including a quick reference chart. Hard-tail frames...
No comments yet.